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Finding the Third Proportional to 132,197 and 257,752

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Solution

The third proportional to 132,197 and 257,752 is: 502,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,197 : 257,752 = 257,752 : x
  2. Step 2: Convert to fraction form
    132,197/257,752 = 257,752/x
  3. Step 3: Cross multiply
    132,197x = 257,752 × 257,752
  4. Step 4: Simplify right side
    132,197x = 66,436,093,504
  5. Step 5: Solve for x
    x = 66,436,093,504/132,197
  6. Step 6: Final answer
    x = 502,553.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.